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Class 10MathematicsArithmetic Progressions (AP)Word problems based on APsExpert
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In a garden the first row has (21) plants and each next row has (11) more plants. Which row will have (252) plants?

Answer and explanation

Correct answer: 22

The numbers of plants form an arithmetic progression with first term \(a=21\) and common difference \(d=11\). The number of plants in the \(n\)th row is \(a_n=21+(n-1)\times 11\). Setting this equal to 252 gives \(21+(n-1)\times 11=252\), so \(11(n-1)=231\), \(n-1=21\), and \(n=22\). Hence, the 22nd row has 252 plants. The 21st row would have only 241 plants. Exam tip: when a target term is given, equate it to \(a_n\) and solve for \(n\).

Related tags

Arithmetic ProgressionAp Word ProblemsNth TermLinear EquationsClass 10 MathematicsWord Problems Based On ApsArithmetic Progressions (Ap)Arithmetic Progressions Ap
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